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Finding the Fourth Proportional to 392,045.30, 588,074.39 and 107,734.07

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Solution

The fourth proportional to 392,045.30, 588,074.39 and 107,734.07 is: 161,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,045.30 : 588,074.39 = 107,734.07 : x
  2. Step 2: Convert to fraction form
    392,045.30/588,074.39 = 107,734.07/x
  3. Step 3: Cross multiply
    392,045.30x = 588,074.39 × 107,734.07
  4. Step 4: Simplify right side
    392,045.30x = 63,355,645,525.07
  5. Step 5: Solve for x
    x = 63,355,645,525.07/392,045.30
  6. Step 6: Final answer
    x = 161,602.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.